Schottky Contact: a) Determine the height of the potential barrier and the width of the space charge region for a Pt-n-Si Schottky contact at room temperature T = 300K. The work function for Pt is ϕPt = 5.56 eV. The electron affinity of Si is χSi = 4.05 eV. The doping is ND = 4 · 10^16/cm^3, and the relative permittivity of Si is ϵSi = 11.9. The effective density of states in the conduction band is NC = 6.2 · 10^15 T 3/2/cm^3. b) How do the values change if the doping is increased by a factor of 10?